A variable of a population has a mean of fl = 300 and a standard deviation of a = 35. a. The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed and standard deviation with mean b. For part (a) to be true, what assumption did you make about the distribution of the variable under consideration? A. Normal distribution. B. No assumption was made. C. Uniform distribution. c. Is the statement in part (a) still true if the sample size is 16 instead of 49? Why or why not? A. Yes, the sampling distribution of the sample mean is always normal. B. No. Because the distribution of the variable under consideration is not specified, a sample size of at least 30 is needed for part (a) to be true. C. No, the sampling distribution of the sample mean is never normal for sample size less than 30.
A variable of a population has a mean of fl = 300 and a standard deviation of a = 35. a. The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed and standard deviation with mean b. For part (a) to be true, what assumption did you make about the distribution of the variable under consideration? A. Normal distribution. B. No assumption was made. C. Uniform distribution. c. Is the statement in part (a) still true if the sample size is 16 instead of 49? Why or why not? A. Yes, the sampling distribution of the sample mean is always normal. B. No. Because the distribution of the variable under consideration is not specified, a sample size of at least 30 is needed for part (a) to be true. C. No, the sampling distribution of the sample mean is never normal for sample size less than 30.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:A variable of a population has a mean of
μ = 300 and a standard deviation of o = 35.
a. The sampling distribution of the sample mean for
samples of size 49 is approximately normally distributed
and standard deviation
with mean
b. For part (a) to be true, what assumption did you make
about the distribution of the variable under
consideration?
A. Normal distribution.
B. No assumption was made.
C. Uniform distribution.
c. Is the statement in part (a) still true if the sample size is
16 instead of 49? Why or why not?
A. Yes, the sampling distribution of the sample mean
is always normal.
B. No. Because the distribution of the variable under
consideration is not specified, a sample size of at
least 30 is needed for part (a) to be true.
C. No, the sampling distribution of the sample mean
is never normal for sample size less than 30.
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